Find the dimensions of the largest side of a rectangular box that can be fitted to a triangular space whose opening has dimensions of 15 inches × 36 inches × 39 inches.

Q: Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: let the length of rectangle is l and width is bthenperimeter of…

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Q: Find the dimensions of a rectangle with a perimeter of 80 ft that has the largest possible area.…

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Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

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Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

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Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4…

A: Assume that the dimension of sheet metal = x feet

Q: The sum of the length and girth (perimeter of a cross section) of packages carried parcel post…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three…

A: Given A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other…

Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

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Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are each 2 cm, and the side margins are…

Q: Find the dimensions of a rectangle of area 289 ft that has the smallest possible perimeter. shorter…

A: From the given problem the area of the rectangle is 289ft2.   Let the sides of the rectangle is x…

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 1…

A: Given,            We know that the height of the box=1ft            The dimensions of the square…

Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 7 cm. If the area of…

A: To find the dimensions for minimum area, we need to find function of area in terms of either width…

Q: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

A: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

Q: Find the dimensions of a rectangle whose width is 7 meters less than its length, and whose area is…

A: Answer:  the dimension of rectangle : length and width are as follows :

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Maxima and minima problem

Q: Find the volume of the largest box that can be made by cutting equal squares out of the corners of a…

A: Form the equation for the volume then maximize using first derivative.

Q: A picture that measures 15 inches by 10 inches is placed in a frame of uniform width. If the area of…

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Q: . A truck rental company rents a 12-ft by 8-ft by 6-ft truck for $69.95 per day plus mileage. A…

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Q: A page is to contain 54 sq cm. of printed material. If the margins are lcm at the top and bottom and…

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Q: Find the dimensions of a rectangle whose width is 15 meters less than its length, and whose area is…

A: Let the length of rectangle be x.

Q: Find the dimensions of a rectangle with a perimeter of 160 ft that has the largest possible area.…

A: Perimeter of a rectangle=2l+bArea of a rectangle=length×breadthGiven: Perimeter = 160

Q: The and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

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Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

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Q: A painting measuring 10 inches by 16 inches is surrounded by a frame of uniform width. If the…

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Q: From each corner of a square piece of sheet metal, remove a square of side9 centimeters. Turn up the…

A: Volume=11cm3 h=9cm

Q: Find the dimensions of a rectangle with perimeter 80 m whose area is as large as possible.

A:

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

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Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

A: Let OAB be the right angled triangle where O is origin, A lies on x-axis and B lies on y-axis.…

Q: Find the dimensions of a rectangle with area 1000 square meters whose perimeter is as small as…

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Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Let the width of the printed area= x And the height of the printed area=y  Area of the printed…

Q: Find the dimensions of a rectangle of area 256 ft that has the smallest possible perimeter. shorter…

A: Area= length * width Perimeter=2(length + width)

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Given:         Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of…

Q: A rectangle has an area of 736 sq.cm. If its longer side is thrice its shorter side, find the…

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Q: The top and bottom margins of a poster are 8 cm and the side margins are each 4 cm. If the area of…

A: Let's find.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: Let base of the rectangle = 2x and height = y

Q: Find the dimensions of the rectangle of largest area that canbe inscribed in an equilateral triangle…

A: Solution:- We have to find the  dimensions of the rectangle of largest area that canbe inscribed in…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 3 cm. If the area of…

A: Given that:- 1.  length of each box in top row is of 2cm and similarly, in last row length of each…

Q: Find the dimensions of a rectangle with perimeter 40 whose area is as large as possible. What is the…

A: Consider the rectangle with length x and width y, then 2x+2y=40x+y=20y=20-x...1 Here, the objective…

Q: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.

A: Lets assume length of a rectangle is x and width is y. So perimeter of a rectangle is, P=2x+y Given…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A:

Q: A rectangle is 4 feet longer than it is wide. If its area is 60 square feet, find its dimensions

A: Let the width of the rectangle be x, then the length is x+4 Now, Area = 60 ft2 => x(x+4) = 60

Q: Find the dimensions of a rectangle of area 324 ft2 that has the smallest possible perimeter.…

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Q: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A: Let a be the width and b be the height of the poster. Let the area of the poster to be minimized be…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

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Q: A box has a volume of 48 cubic inches. If all the dimensions of the box are cut in half, what is the…

A: According to the question: